Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5558/775, 3789/9942 quickly i.e. 21059262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5558/775, 3789/9942 is 21059262.
LCM(5558/775, 3789/9942) = 21059262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5558/775,3789/9942
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 5558,3789
Least Common Multiple of Numerators i.e. LCM of 5558,3789 is 21059262.
GCF of Denominators means GCF of 775,9942 as per the given fractions.
GCF of 775,9942 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5558,3789
Given numbers has no common factors except 1. So, there LCM is their product i.e 21059262
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 5558,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5558,3789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5558,3789) x common factors =1 x 1 = 1
LCM(5558,3789) = ( 5558 × 3789 ) / 1
LCM(5558,3789) = 21059262 / 1
LCM(5558,3789) = 21059262
Lets's calculate GCF of 775,9942
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21059262/1
Therefore the LCM of Fractions 5558/775,3789/9942 is 21059262
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 9942
List of positive integer factors of 9942 that divides 9942 without a remainder.
1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 775,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 775,9942 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 5558/775, 3789/9942?
Answer: LCM of Numerators as per given numbers 5558/775, 3789/9942 is
LCM of Numerators i.e. for 5558,3789 is 21059262
GCF of denominators i.e. for 775,9942 is 1.
Thus, LCM of Fractions is 21059262.Finally, LCM of Fractions for 5558/775, 3789/9942 is 21059262.